A388365 Decimal expansion of 64 * exp(-3*Pi/4) * 2^(3/4) * Gamma(3/4)^18 / Pi^(9/2).

2, 2, 9, 4, 0, 5, 6, 4, 3, 1, 5, 3, 6, 7, 4, 1, 7, 5, 3, 6, 8, 9, 9, 0, 5, 3, 2, 2, 9, 1, 4, 5, 0, 5, 6, 0, 0, 8, 7, 8, 5, 8, 3, 5, 9, 3, 4, 1, 6, 0, 5, 7, 2, 2, 0, 3, 1, 1, 8, 6, 7, 4, 3, 4, 5, 1, 0, 4, 0, 4, 5, 5, 3, 4, 4, 6, 6, 7, 0, 5, 9, 7, 9, 0, 1, 4, 8

Offset

1,1

Links

Table of n, a(n) for n=1..87.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A023016(k) / exp(k*Pi).

Example

2.2940564315367417536899053229145056009...

Mathematica

First[RealDigits[(64*2^(3/4)*Exp[(-3*Pi)/4]*Gamma[3/4]^18)/Pi^(9/2), 10, 100]]

Prog

(PARI) 64 * exp(-3/4 * Pi) * 2^(3/4) * gamma(3/4)^18 / Pi^(9/2)

Crossrefs

Cf. A023016.

Sequence in context: A021440 A271524 A157216 * A390285 A020776 A384278

Adjacent sequences: A388362 A388363 A388364 * A388366 A388367 A388368

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved